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Finding the Fourth Proportional to 3,982.70, 5,959.04 and 3,578.50

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Solution

The fourth proportional to 3,982.70, 5,959.04 and 3,578.50 is: 5,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.70 : 5,959.04 = 3,578.50 : x
  2. Step 2: Convert to fraction form
    3,982.70/5,959.04 = 3,578.50/x
  3. Step 3: Cross multiply
    3,982.70x = 5,959.04 × 3,578.50
  4. Step 4: Simplify right side
    3,982.70x = 21,324,424.64
  5. Step 5: Solve for x
    x = 21,324,424.64/3,982.70
  6. Step 6: Final answer
    x = 5,354.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.